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The floor of a room is rectangular. If all the floors are paved with square tiles, what is the maximum side length of the square tiles? (1) How many tiles are needed to cover the floor of this room? (2) Note: (1), (2) divided into title number, pay attention to the unit, to the process! 4.8m long 4.2m wide
4.8 M = 48 decimeters; 4.2 M = 42 decimeters;
To find the maximum side length is to find the greatest common divisor of 48 and 42;
The greatest common divisor of 48 and 42 is 6
So the maximum side length of a square tile is 6 decimeters;
See how many times the house area is the floor tile, how many bricks are needed
48*42÷（6*6）
= 56 (pieces)
In other words, the length can be 48 ／ 6 = 8 blocks, and the width can be 42 ／ 6 = 7 blocks, so 8 * 7 = 56 (blocks) is OK
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